# Questions on Algebra: Combinatorics and Permutations answered by real tutors!

Algebra ->  Algebra  -> Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 191392: I DON'T KNOW WHAT TO DO! HELP ME HERE IS THE QUESTION- Philip wishes to check out two books out of his school library. If the library contains 800 books, in how many ways might Philip get his choice of books? PLEASE RESPOND IMMEDIATELY!!!!!!!!!!!IT'S DUE TOMMOROW!!!!!!!!!!!!!!!!!!!!!!!!! Click here to see answer by jim_thompson5910(28476)

 Question 192269: Q: There are 12 points in a plane of which 5 are collinear. The number of triangles is? I think we have to combine C(5,2) (out of 5 collinear, 2 points can form a side of triangle) with the combination of the rest of the points... but i m not getting any answer out of the four options a)200 b)211 c)210 d)none of these Click here to see answer by chowmeineep(4)
 Question 192269: Q: There are 12 points in a plane of which 5 are collinear. The number of triangles is? I think we have to combine C(5,2) (out of 5 collinear, 2 points can form a side of triangle) with the combination of the rest of the points... but i m not getting any answer out of the four options a)200 b)211 c)210 d)none of these Click here to see answer by bhayzone(8)

 Question 189209: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many different arrangements can you buy? Click here to see answer by bhayzone(8)

 Question 194968: How many different three-digit numbers can be formed from the digits 0-9 if the first digit must be odd and the last digit must be even? Click here to see answer by RAY100(1637)

 Question 195136: How many different groups of 5 objects can be chosen from 9 objects? Please show your work, thank you very much. Click here to see answer by jim_thompson5910(28476)

 Question 195613: This is not from a text book but a question my instructor posed to me. I am not sure how to figure it out. Can someone please help me with it? Suppose we have a list of zip codes that is only the 5-digit without the extension and there is no replacement or repetition. How many possible zip codes do we have? Click here to see answer by jim_thompson5910(28476)

 Question 195884: 1 ace and 4 other cards (none of which are aces) Click here to see answer by Alan3354(30924)

 Question 196725: Your state issues license plates consisting of letters and numbers. there are 26 letters and the letters may be repeated. There are 10 digits and the digits may be repeated. How many possible license plates can be issued with two letters followed by three numbers? Click here to see answer by Alan3354(30924)

 Question 196772: there are 4 flowers and 2 vases. how many different combinations can be created using one flower and one vase. 4, 6, 8 or 16 Click here to see answer by RAY100(1637)

 Question 196924: How many different 4-letter arrangement can be formed from the letters in the word "AREA"? Click here to see answer by stanbon(57203)

 Question 197460: How many different teams of 5 can be formed from a group of 8 bowlers? Click here to see answer by edjones(7569)

 Question 197459: How many different arrangements of 5 letters can be made using the letters in the word "SASSY"? Click here to see answer by edjones(7569)

 Question 198260: A teacher prepares a test.She gives 5 objective type of questions out of which 4 have to be answered.Find the total ways in which they can be answered if the first 2 have 3 options and last 3 have 4 options? Click here to see answer by arallie(162)

 Question 198185: There are 10 true/false questions on a test and 5 multiple choice questions with four possible answers. How many different choices for answering the 15 questions? Click here to see answer by arallie(162)

 Question 198014: How many subcommittees, each consisting of 2 Republicans and 1 Democrat, can be formed from a committee of 3 Republicans and 3 Democrats? Click here to see answer by edjones(7569)

 Question 198486: 1) In how many ways can 5 seats on a bench be assigned from amongst 12 people? 2)John and Harry Invited four other people to sit on their bench. In how many ways can these six people be seated on this bench if: a)there are no restrictions b)john is seated at the left end and Harry is seated at the right end c)John and Harry must be seated together. 3)You bought five house numbers at your lumber supply store. The numbers are 1,2,3,4 and 5.How many three-digit house numbers a)are even? b)are possible? Click here to see answer by stanbon(57203)

 Question 198768: Bob has 7 books he wants to put his bookshelf. 1. How many possible arrangements of books are there? 2. What if bob has room on the shelf for only 3 of vthe 7 books. In how many ways can he arrange the books now? Click here to see answer by solver91311(16868)

 Question 198820: What is the formula for combinatorics and permutations? Click here to see answer by solver91311(16868)

 Question 199702: question:How many lines are determined by 8 points, no 3 of which are collinear? how many triangles are determined by the same points if no 4 are coplanar. Click here to see answer by tutorvolunteer(9)

 Question 199754: May someone can help me with: In how many ways can 2 men, 4 women, 3 boys, 3 girls be selected from 6 men, 8 women, 4 boys and 5 girls if a particular man and a particular woman must be selected? The answer is 7000 but I get 14000: {5!/(2!3!)} x {7!/(4!3!)} x {4!/3!} x {5!/(2!3!)} for the men, I take 5! because there are (6-1) men remaining: one has been selected already; for the women, I take 7! because there are (8-1) women remaining: one has been selected already; Thanks a lot! Click here to see answer by solver91311(16868)

 Question 199877: This is the last problem that i missed on my exam please help me .. so I will have it straigh for my final. thank you T-Aun How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? Click here to see answer by rfer(12644)
 Question 199877: This is the last problem that i missed on my exam please help me .. so I will have it straigh for my final. thank you T-Aun How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? Click here to see answer by jim_thompson5910(28476)

 Question 200123: How many 4-digit numbers greater than 6000 can be formed with the digits 1, 3, 6 and 8 if no digit is repeated? Click here to see answer by checkley77(12569)

 Question 200122: How many 4-digit numbers greater than 6000 can be formed with the digits 1,3,6 and 8 if no digit is repeated? Click here to see answer by checkley77(12569)

 Question 200930: How many different ways can you arrange the letters in the word “NISSAN” ? (assume all letters are capital) Click here to see answer by stanbon(57203)

 Question 201594: In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together. Click here to see answer by stanbon(57203)

 Question 202533: Can someone please help me with these. A.S.A.P. 1) Indicate the formula for the following conditions. P(X | Y) = ________ 2) Type the general term for the following sequence. 3, 9, 27, 81, 243, . . . __________ 3) Type the general term for the following sequence. 3/4, 6/5, 9/6, 12/7, 15/8 ... 4) Evaluate the following expression. Pc(5,5) = ______ 5) A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 11 birthstones be arranged around the bracelet? Leave the answer in factorial form. ________ 6) How many different ways can an executive committee of nine people sit at a round table? _________ 7) A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble? ________ Thank You, ~Sarah :) Click here to see answer by rfer(12644)

 Question 202890: How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the sequence may not end in 000? Repetition of digits is allowed. Click here to see answer by dyakobovitch(40)

 Question 203313: Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability of drawing an ace and a king? I have: 4/52 x 4/51 = 4/663 is this permutation correct? Click here to see answer by solver91311(16868)

 Question 203330: Six students are being grouped into three pairs to work on a science lab. How many different combinations of three pairs are possible? Click here to see answer by stanbon(57203)

 Question 203403: How many different ways can a committee of 9 be selected from a larger organization of 20 people? I am sure this is a combination problem. Which is 9C20=(just Guessing) 20! 20! ______ = ________ 9!(20-9) 9!11! 20! 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 ______________________________________________________ 9! i guess im confused. big numbers. Click here to see answer by scott8148(6628)

 Question 204168: Sorry if this is the wrong place for this question. If there are 2 apples and every year the percentage of apples increase by 2%. How many apples are there in 6000 years? Click here to see answer by lazi(15)

 Question 204192: If there are 2 apples and every year the percentage of apples increase by 2%. How many apples are there in 6000 years? For the first year the formula seems to work 2+1[2(.02)]=2.04 For the second year, I think it should be 2.04+1[2.04(.02)]=2.0808 because we have to take into consideration the initial increase and 2% of the initial increase for further increase. For the third year, 2.0808+1[2.0808(.02)]=2.122416 And so on. How do I go about calculating the problem without having to do it 6000 times? Click here to see answer by scott8148(6628)
 Question 204192: If there are 2 apples and every year the percentage of apples increase by 2%. How many apples are there in 6000 years? For the first year the formula seems to work 2+1[2(.02)]=2.04 For the second year, I think it should be 2.04+1[2.04(.02)]=2.0808 because we have to take into consideration the initial increase and 2% of the initial increase for further increase. For the third year, 2.0808+1[2.0808(.02)]=2.122416 And so on. How do I go about calculating the problem without having to do it 6000 times? Click here to see answer by Earlsdon(6287)

 Question 204215: Here is the question: In how many ways can John, Todd, Lisa, and Marie line up so that they alternate gender? Here is the solution that I came up with (Choices for gender)*(Number of ways to arrange the genders) There two choices for gender: either a girl or a boy. For the first position you can choose two boys, in the second you can choose two girls, in the third you can choose one boy, and in the fourth you can choose one girl: Here it is: 2 * 2*1*2*1 = 8 ways of arranging them so that the genders are always alternated. Please let me know if my reasoning is correct. Click here to see answer by solver91311(16868)

 Question 206309: I tried doing this problem but none of my calculators will let me.. I just need to know the answer for Skill Level 1 Problem 4 (140!) Click here to see answer by Alan3354(30924)

 Question 206869: For many years, the state of California used three letters followed by three digits on its automobile plates. a) how many different license plates are possible w/ this arrangement? b) when the state ran out of plates, the order was reversed to three digits followed by three letters. How many additional plates were then possible? Click here to see answer by Edwin McCravy(8879)

 Question 207018: In a club w/ 8 men, 11 women, how many 5-member committees can be chosen that have 3 men, 2 women? Please help, i think this is a combin. prob Click here to see answer by edjones(7569)

 Question 207186: Is this correct: 5(6/(2/3))-6 5 (6(3/2)/(2/3)(3/2))-6 5(18/2)-6 5(9)-6 45-6 39 Click here to see answer by jim_thompson5910(28476)

 Question 207307: I am trying to see if I figured this out correctly or not, the question is this: three men and three women line up at the check out counter, how many different ways can they line up. I got 22 different ways but want to check my answer, THANKS Click here to see answer by Edwin McCravy(8879)

 Question 207338: How many different ways can a committee of 10 be selected from a larger organization of 15 people? Click here to see answer by stanbon(57203)

 Question 207453: There are 16 books on a book shelf.In how many ways can 6 of these be selected,if a selection must not include two neighbouring books? Click here to see answer by Edwin McCravy(8879)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780